Suppose that a and b are integers, a ≡ 7 (mod 19), and b ≡ 5 (mod 19), Find the integer c with 0 ≤ c ≤ 18 such that: 12. (a − b) ≡ c mod 19 13. (7a + 3b) ≡ c mod 19 14. (2a2 + 3b2) ≡ c mod 19

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Suppose that a and b are integers, a ≡ 7 (mod 19), and b ≡ 5 (mod 19), Find the integer c with 0 ≤ c ≤ 18 such that:


12. (a − b) ≡ c mod 19

13. (7a + 3b) ≡ c mod 19

14. (2a2 + 3b2) ≡ c mod 19

15. (a3 + 4b3) ≡ c mod 19

please show your solutions :)

I've already seen other answers to the problems but I'm unsure if that's correct pls help

v. Suppose that a and b are integers, a - 7 (mod 19), and b = 5 (mod 19). Find
the integer c with 0scs 18 such that:
12. (a – b) = c mod 19
13. (7a + 3b) = c mod 19
14. (2a? + 3b?) = c mod 19
15. (a³ + 4b3) = c mod 19
Transcribed Image Text:v. Suppose that a and b are integers, a - 7 (mod 19), and b = 5 (mod 19). Find the integer c with 0scs 18 such that: 12. (a – b) = c mod 19 13. (7a + 3b) = c mod 19 14. (2a? + 3b?) = c mod 19 15. (a³ + 4b3) = c mod 19
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,